Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 8637, 8638 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8637 and 8638 is 1.
GCF(8637,8638) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8637
3 | 8637 |
2879 | 2879 |
1 |
Prime factors of 8637 are 3,2879. Prime factorization of 8637 in exponential form is:
8637 = 31×28791
Prime Factorization of 8638
2 | 8638 |
7 | 4319 |
617 | 617 |
1 |
Prime factors of 8638 are 2,7,617. Prime factorization of 8638 in exponential form is:
8638 = 21×71×6171
∴ So by taking common prime factors GCF of 8637 and 8638 is 1
Factors of 8637
List of positive integer factors of 8637 that divides 8637 without a remainder.
1,3,2879,8637
Factors of 8638
List of positive integer factors of 8638 that divides 8638 without a remainder.
1,2,7,14,617,1234,4319,8638
Greatest Common Factor
We found the factors and prime factorization of 8637 and 8638. The biggest common factor number is the GCF number.
So the greatest common factor 8637 and 8638 is 1.
Also check out the Least Common Multiple of 8637 and 8638
(i) The GCF of 8637 and 8638 is associative
GCF of 8637 and 8638 = GCF of 8638 and 8637
1. What is the GCF of 8637 and 8638?
Answer: GCF of 8637 and 8638 is 1.
2. What are the Factors of 8637?
Answer: Factors of 8637 are 1, 3, 2879, 8637. There are 4 integers that are factors of 8637. The greatest factor of 8637 is 8637.
3. What are the Factors of 8638?
Answer: Factors of 8638 are 1, 2, 7, 14, 617, 1234, 4319, 8638. There are 8 integers that are factors of 8638. The greatest factor of 8638 is 8638.
4. How to Find the GCF of 8637 and 8638?
Answer:
Greatest Common Factor of 8637 and 8638 = 1
Step 1: Find the prime factorization of 8637
8637 = 3 x 2879
Step 2: Find the prime factorization of 8638
8638 = 2 x 7 x 617
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 8637 and 8638 is 1